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PreprintCC BY 4.0arXiv

Gross--Prasad conjecture in geometric Langlands

Abstract

We prove part of the global Gross--Prasad conjecture for G = SOn × SOn−1 and H = SOn−1 in the unramified de Rham geometric Langlands setting proposed by Ben-Zvi--Sakellaridis--Venkatesh.

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BibTeX
@misc{chen2026grossprasad,
  title = {{Gross--Prasad conjecture in geometric Langlands}},
  author = {Kaiyi Chen and Zeyu Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36377},
  eprint = {2610.36377},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36377},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Gross--Prasad conjecture in geometric Langlands
AU  - Kaiyi Chen
AU  - Zeyu Wang
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.36377
UR  - https://arxiv.org/abs/2610.36377
AB  - We prove part of the global Gross--Prasad conjecture for G = SO_n × SO_n−1 and H = SO_n−1 in the unramified de Rham geometric Langlands setting proposed by Ben-Zvi--Sakellaridis--Venkatesh.
ER  -